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Question 1 Given a causal LTI system y[k] 0.5yk 1]f[k], with f[k] as input and y[k] as the output. (1) Find the transfer function H(z) and specify its ROC (2) Assume that f[k] -(H u[k] is the input to the LTI system. Use the Z transforms time- convolution property and the inverse Z transform to find the output y[k

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Sol: o.5 FC-2) 1-0.5も ヒ 4 꾼 4- talce inuesse

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